A bstract We propose a generalization of the Saad-Shenker-Stanford duality relating matrix
models and JT gravity to the case in which the bulk includes higher spin fields. Using a PSL …

The subject of matrix field theory involves matrix models, noncommutative geometry, fuzzy
physics and noncommutative field theory, and their interplay. These lecture notes contain a …

A bstract We study a Hermitian matrix model with the standard quartic potential amended by
a tr (RΦ 2) term for fixed external matrix R. This is motivated by a curvature term in the …

This book is divided into two parts. In the first part we give an elementary introduction to
computational physics consisting of 21 simulations which originated from a formal course of …

A bstract We construct and analyze a phase diagram of a self-interacting matrix field coupled
to curvature of the non-commutative truncated Heisenberg space. The model reduces to the …

How the transverse M5-branes are described in the matrix-model formulations of M-theory
has been a long-standing problem. We consider this problem for M-theory on the maximally …

A bstract We consider matrix theoretical description of transverse M5-branes in M-theory on
the 11-dimensional maximally supersymmetric pp-wave background. We apply the …

In this contribution, we summarize our recent studies of the phase structure of the Grosse-
Wulkenhaar model and its connection to renormalizability. Its action contains a special term …

A detailed Monte Carlo calculation of the phase diagram of bosonic mass-deformed IKKT
Yang–Mills matrix models in three and six dimensions with quartic mass deformations is …

We study a six matrix model with global SO (3)× SO (3) symmetry containing at most quartic
powers of the matrices. This theory exhibits a phase transition from a geometrical phase at …